Line tangent to an implicitly defined curve. Find the equation of the line tangent to the graph of z*y – ry = 10 at the point (-1,2). Type answer in form y = mr +b.

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

Q: Find an equation of the tangent line to the curve at the given point. y = ex cos(x) + sin(x),…

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Q: Find the equations of the tangent lines to the graph of y = In |x| at x = 1 and x= - 1. The equation…

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Q: Find an equation of the tangent line to the curve 2(z + y)² = 25(z² – ) (a lemniscate) at the point…

A: We have to  find

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

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Q: a curve like y=x/1+1x^2 is called a serpentine. Find an equation of the tangent line to the curve…

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Q: Find the equation of the tangent line to the curve y = 2 tan a at the point (4, 2). The equation of…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2−y^2) at the…

A: Given: 2x2+y22=25x2-y2 at point -3,-1

Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

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Q: (a) Find the slope of the tangent line to the curve y = x - x3 at the point (1, 0)(i) using…

A: (a) Given equation is: y=x-x3 Then we get, dydx=1-3x2 At the point (1, 0) we get,…

Q: Find an equation for the line tangent to the curve y =x +1 at the point (-2,5). Sketch the curve and…

A: The curve is y=x2+1 at the point (-2,5).

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point 4). (중· %3D The equation…

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Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y = x…

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Q: Find the equation of the tangent line to the curve y = 3x at the point (1, 3). The equation of the…

A: Given,           The curve is y=3x and point is 1, 3.

Q: Find an equation of the tangent line to the curve y' = z'(3– z) (a piriform) at the point (2, -2/2).…

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Q: 24. At what point(s) on the curve (y - 2)² = x is the tangent line vertical? The tangent line is…

A: The given curve,   y-22=x

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

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Q: ind the slope and the equation of the tangent line to the curve. Use the delta method. Explain…

A: To find slope and equation of the tangent line to the curvey=2x2-2x+4 at (1,4)

Q: Find an equation of the tangent line to the curve y = at the point (1,). 8 + Vx Confirm this tangent…

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Q: The point P(0.2, 10) lies on the curve y = 2/x. find the slope of the tangent line to the curve at…

A: Using derivative,

Q: The curve y = ax2 + b and y = 2x2+cx have a common tangent line at the point (-1,0). Find a+b+c at…

A: To find: value of a + b + c

Q: Find the point(s) on the graph of y = (x2 – 48)e × where the tangent line is horizontal. Identify…

A: Tangent is horizontal that means derivative of f(x) is equal zero.

Q: Find the equation of the tangent line to the curve y=3xcosx at the point (π,−3π)(π,−3π). The…

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

A: To find the equation of the tangent line to the curve y=4sinx at the point π6,2. Solution: Firstly,…

Q: Find equations of the tangent lines to the curve y = o mc) at the points (1, 0) and at the point (1,…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y°)´ = 25 (x² – y²) at the…

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Q: find the slope of y=x^2-2x-5 at the point (2,-5) The equation of the tangent line to the curve at…

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Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: Find the slope of the tangent line to the curve y = 5 – x at the point (1,4) by analysing the slope…

A: Given query is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = 4x cos a at the point (7, – 47). The equation…

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Q: Find the equation of the tangent line to the curve y = ( at the point (1, 0) at the point (e, 8/e) y…

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Q: Find the equations of the tangent lines at the point where the curve crosses itself. x = 3 - 6t y =…

A: The given curve is: x=t3-6ty=t2

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex cos(x),    (0, 9)

A: y=9excosx Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the slope of the curve x^3=(y-x^2)^2 at (1,2). If q-p=Inq+Inp, find dq/dp.

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Q: (a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of…

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Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) at c) at a) The equation…

A: Given: The graph of fx=1x6 To find the equation of tangent line at a) 1,1 b) 3,1729 c) -2, 164

Q: Consider the curve parameterized by x = 3t²3 and y = 2t³. Find equations for all tangent lines to…

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y…

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Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: An equation of the tangent line to the curve y=(x^2 +1)^3 at the point (1, 8)

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Q: Find an equation of the tangent line to the curve 2(z² + )? = 25(z² - y) (a lemniscate) at the point…

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Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the…

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution…

Q: Find the equation of the tangent line to the implicit curve (x^2) + xy − (y^2) = 1 at the point (2,…

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 4x…

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Q: Find the equation of the tangent line to the curve y=xlnx that is parallel to the line Y=1+3x.

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Q: Find the equation of the line tangent to the graph of y = 3e" at r = 4. Tangent Line: y

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Q: separate sheet. 1. Find the equations of the tangent and normal lines to the curve y= x² + 2x +3 at…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…